Basic Fantasy uses the OGL. It doesn't use any proprietary information from Dungeons & Dragons or Pathfinder. The rules are spelled out in the FAQ involving the OGL:

Q: I want to distribute computer software using the OGL. Is that possible?

A: Yes, it's certainly possible. The most significant thing that will impact your effort is that you have to give all the recipients the right to extract and use any Open Game Content you've included in your application, and you have to clearly identify what part of the software is Open Game Content.

One way is to design your application so that all the Open Game Content resides in files that are human-readable (that is, in a format that can be opened and understood by a reasonable person). Another is to have all the data used by the program viewable somehow while the program runs.

Distributing the source code not an acceptable method of compliance. First off, most programming languages are not easy to understand if the user hasnÍt studied the language. Second, the source code is a separate entity from the executable file. The user must have access to the actual Open Content used.

In other words, you can use the Open Content in a video game providing that you follow the rules. There have been many video games made that have included the Open Content (for example, "Knights of the Chalice").